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Item 16

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?

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we know that

first garden dimensions -------> 6 feet long x 4 feet wide
second garden dimensions-----> (6*2) feet long x (4*2) feet wide
then
second garden dimensions-----> (12) feet long x (8) feet wide

[perimeter first garden]=2*6+2*4---------> 20 ft
[perimeter second garden]=12*2+8*2---------> 40 ft

[the percent of change in perimeter]=[[perimeter second garden]-[perimeter first garden]}/[perimeter first garden]
[the percent of change in perimeter]=(40-20)/20-------> 1---------> 1*100-------> 100 %

the answer is 100%
User Fabio Buda
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